依据金属橡胶典型细观结构特征,对金属橡胶压缩变形金属线匝的空间位形和接触模式进行了分析,揭示了金属橡胶变形的细观物理机制。提出了基于变长度曲梁的细观结构单元以及曲梁间的接触作用模型,结合摩擦接触点分布规律,建立了包含金属丝直径、金属丝弹性模量、螺旋卷直径、金属橡胶相对密度等基本结构参数的金属橡胶迟滞特性本构模型,实现了金属橡胶初始加载、卸载和重复加载过程恢复力曲线的描述,从理论上解释了金属橡胶的弹性性能和多点接触的干摩擦阻尼特性。通过不同相对密度金属橡胶试件对所建模型进行试验验证,发现理论预测和试验结果基本一致,为金属橡胶刚度和阻尼的预估以及产品的设计提供了理论依据。
Based on the typical mesoscopic structural characteristics of metal rubber, the mesoscopic physical mechanism was revealed through analyzing the spatial configuration and the contact mode of wire helixes for its compression deformation process. The mesoscopic structure unit based on the curved beam of variable length and the model of the contact interaction between curved beams were proposed. Combined with the distribution law of frictional contact points, a new constitutive model of metal rubber for hysteresis characteristics was established, which included its basic structure parameters such as the diameter and the elastic modulus of wire, the diameter of wire helix, and the relative density of metal rubber. The model could describe the restoring force curves of metal rubber in initial loading, unloading and repeated loading phases, and theoretically explained its elastic characteristics and dry friction damping characteristics of multipoint contact. To verify the theory model, a comparison was made between the theoretical results and the experimental results for metal rubber specimens with different relative densities. The results show that theoretic calculations are consistent with the experimental data, which will provides a theoretical basis for predicting the stiffness and damping of metal rubber and guiding its design.